M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics Short Title: M2AN, Math. Model. Numer. Anal. Parallel Title: M2AN. Modélisation Mathématique et Analyse Numérique Publisher: EDP Sciences, Les Ulis; Société de Mathématiques Appliquées et Industrielles (SMAI), Paris ISSN: 0764-583X; 1290-3841/e Online: http://www.edpsciences.org/m2an/http://www.numdam.org/numdam-bin/browse?sl=0&j=M2AN Predecessor: RAIRO. Modélisation Mathématique et Analyse Numérique Successor: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis Comments: Journal; No longer indexed Documents Indexed: 347 Publications (1999–2004) References Indexed: 279 Publications with 6,333 References. all top 5 Latest Issues 38, No. 6 (2004) 38, No. 5 (2004) 38, No. 4 (2004) 38, No. 3 (2004) 38, No. 2 (2004) 38, No. 1 (2004) 37, No. 6 (2003) 37, No. 5 (2003) 37, No. 4 (2003) 37, No. 3 (2003) 37, No. 2 (2003) 37, No. 1 (2003) 36, No. 6 (2002) 36, No. 5 (2002) 36, No. 4 (2002) 36, No. 3 (2002) 36, No. 2 (2002) 36, No. 1 (2002) 35, No. 6 (2001) 35, No. 5 (2001) 35, No. 4 (2001) 35, No. 3 (2001) 35, No. 2 (2001) 35, No. 1 (2001) 34, No. 6 (2000) 34, No. 5 (2000) 34, No. 4 (2000) 34, No. 3 (2000) 34, No. 2 (2000) 34, No. 1 (2000) 33, No. 6 (1999) 33, No. 5 (1999) 33, No. 4 (1999) 33, No. 3 (1999) 33, No. 2 (1999) 33, No. 1 (1999) all top 5 Authors 5 Guermond, Jean-Luc 5 Maday, Yvon 5 Nicaise, Serge 4 Bernardi, Christine 4 Chacón Rebollo, Tomás 4 Kurganov, Alexander 4 Schwab, Christoph 3 Agouzal, Abdellatif 3 Bal, Guillaume 3 Barrett, John William 3 Benedetto, Dario 3 Besse, Christophe 3 Carstensen, Carsten 3 Chainais-Hillairet, Claire 3 Coudière, Yves 3 Dauge, Monique 3 Gallouët, Thierry 3 Grenier, Emmanuel 3 Hansbo, Peter 3 Jin, Shi 3 Luskin, Mitchell 3 Prohl, Andreas 3 Rappaz, Jacques 3 Rodríguez, Rodolfo 3 Verfürth, Rüdiger 3 Vogelius, Michael S. 3 Wohlmuth, Barbara I. 2 Achdou, Yves 2 Apel, Thomas 2 Barrientos, Mauricio A. 2 Bělík, Pavel 2 Ben Belgacem, Faker 2 Benamou, Jean-David 2 Bermúdez, Alfredo 2 Bhattacharyya, Pulin Kumar 2 Bidégaray-Fesquet, Brigitte 2 Blowey, James F. 2 Boillat, Eric 2 Caglioti, Emanuele 2 Capdeboscq, Yves 2 Castella, François 2 Castro, Manuel J. 2 Chambolle, Antonin 2 Chen, Lansun 2 Chen, Zhiming 2 Collino, Francis 2 Costabel, Martin 2 Deckelnick, Klaus 2 Degond, Pierre 2 Domínguez Delgado, Antonio 2 Eymard, Robert 2 Feng, Xiaobing 2 Fernández-Nieto, Enrique Domingo 2 Gagneux, Gérard 2 Gatica, Gabriel N. 2 Gegechkori, Zurab 2 Gerbeau, Jean-Frédéric 2 Girault, Vivette 2 Golse, François 2 Guo, Ben-Yu 2 Hecht, Frédéric 2 Herbin, Raphaèle 2 Hild, Patrick 2 Hintermüller, Michael 2 Ito, Kazufumi 2 Jaoua, Mohamed 2 Joly, Patrick 2 Jüngel, Ansgar 2 Kacur, Jozef 2 Karageorghis, Andreas 2 Kinderlehrer, David 2 Kunert, Gerd 2 Kunisch, Karl 2 Larson, Mats G. 2 Le Tallec, Patrick 2 Levy, Doron 2 Lewandowski, Roger 2 Lions, Jacques-Louis 2 Makridakis, Charalambos G. 2 Marion, Martine 2 Masson, Roland 2 Matache, Ana-Maria 2 Mohammadi, Bijan 2 Nataraj, Neela 2 Nochetto, Ricardo Horacio 2 Paquet, Luc 2 Parés Madroñal, Carlos 2 Peng, Yuejun 2 Petrova, Guergana 2 Prud’homme, Christophe 2 Pulvirenti, Mario 2 Quarteroni, Alfio M. 2 Rogava, Jemal L. 2 Sändig, Anna-Margarete 2 Schatzman, Michelle 2 Schmidt, Alfred 2 Tang, Sanyi 2 Toscani, Giuseppe 2 Tsiklauri, Mikheil 2 Van Keer, Roger ...and 481 more Authors all top 5 Fields 218 Numerical analysis (65-XX) 198 Partial differential equations (35-XX) 104 Fluid mechanics (76-XX) 52 Mechanics of deformable solids (74-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 28 Optics, electromagnetic theory (78-XX) 26 Statistical mechanics, structure of matter (82-XX) 18 Computer science (68-XX) 16 Classical thermodynamics, heat transfer (80-XX) 16 Biology and other natural sciences (92-XX) 11 Ordinary differential equations (34-XX) 10 Geophysics (86-XX) 8 Integral equations (45-XX) 8 Operator theory (47-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Approximations and expansions (41-XX) 6 Quantum theory (81-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Probability theory and stochastic processes (60-XX) 4 Systems theory; control (93-XX) 3 Potential theory (31-XX) 3 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Differential geometry (53-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 320 Publications have been cited 5,731 times in 5,109 Documents Cited by ▼ Year ▼ Central WENO schemes for hyperbolic systems of conservation laws. Zbl 0938.65110 Levy, Doron; Puppo, Gabriella; Russo, Giovanni 216 1999 Singularities of Maxwell interface problems. Zbl 0937.78003 Costabel, Martin; Dauge, Monique; Nicaise, Serge 143 1999 Stabilization of Galerkin approximations of transport equations by subgrid modeling. Zbl 0946.65112 Guermond, Jean-Luc 138 1999 Central-upwind schemes for the Saint-Venant system. Zbl 1137.65398 Kurganov, Alexander; Levy, Doron 135 2002 Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem. Zbl 0937.65116 Coudière, Yves; Vila, Jean-Paul; Villedieu, Philippe 122 1999 A finite element method for domain decomposition with non-matching grids. Zbl 1047.65099 Becker, Roland; Hansbo, Peter; Stenberg, Rolf 113 2003 A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows. Zbl 1070.74047 Gerbeau, Jean-Frédéric; Vidrascu, Marina 100 2003 On the well-balance property of Roe’s method for nonconservative hyperbolic systems. Applications to shallow-water systems. Zbl 1130.76325 Parés, Carlos; Castro, Manuel 99 2004 Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. Zbl 0941.65115 Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Ye, Xiu 95 1999 Residual based a posteriori error estimators for eddy current computation. Zbl 0949.65113 Beck, Rudi; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara 95 2000 Fluids with anisotropic viscosity. Zbl 0954.76012 Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 88 2000 A steady-state capturing method for hyperbolic systems with geometrical source terms. Zbl 1001.35083 Jin, Shi 82 2001 Two-grid finite element schemes for the transient Navier-Stokes problem. Zbl 1032.76032 Girault, Vivette; Lions, Jacques-Louis 80 2001 On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations. Zbl 0998.65067 Barles, Guy; Jakobsen, Espen Robstad 80 2002 Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology. Zbl 1046.76002 Glowinski, Roland; Rappaz, Jacques 80 2003 Boundary observability for the space semi-discretizations of the 1-D wave equation. Zbl 0947.65101 Infante, Juan Antonio; Zuazua, Enrique 76 1999 Discontinuous Galerkin and the Crouzeix-Raviart element: application to elasticity. Zbl 1137.65431 Hansbo, Peter; Larson, Mats G. 74 2003 Quasi-interpolation and a posteriori error analysis in finite element methods. Zbl 0948.65113 Carstensen, Carsten 72 1999 Existence for an unsteady fluid-structure interaction problem. Zbl 0969.76017 Grandmont, Céline; Maday, Yvon 67 2000 A \(Q\)-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system. Zbl 1094.76046 Castro, Manuel; Macías, Jorge; Parés, Carlos 65 2001 A finite element method on composite grids based on Nitsche’s method. Zbl 1031.65128 Hansbo, Anita; Hansbo, Peter; Larson, Mats G. 64 2003 Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. Zbl 0971.78004 Vogelius, Michael S.; Volkov, Darko 61 2000 Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355 Eymard, Robert; Herbin, Raphaèle; Michel, Anthony 61 2003 One-dimensional kinetic models of granular flows. Zbl 0981.76098 Toscani, Giuseppe 59 2000 A posteriori error control for the Allen-Cahn problem: circumventing Gronwall’s inequality. Zbl 1075.65117 Kessler, Daniel; Nochetto, Ricardo H.; Schmidt, Alfred 58 2004 Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007 Ito, Kazufumi; Kunisch, Karl 55 2003 On the discretization in time of parabolic stochastic partial differential equations. Zbl 0991.60051 Printems, Jacques 54 2001 Fast deterministic pricing of options on Lévy driven assets. Zbl 1072.60052 Matache, Ana-Maria; von Petersdorff, Tobias; Schwab, Christoph 54 2004 Numerical solution of parabolic equations in high dimensions. Zbl 1083.65095 von Petersdorff, Tobias; Schwab, Christoph 54 2004 On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations. Zbl 0992.78032 Bécache, Eliane; Joly, Patrick 52 2002 A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction. Zbl 1137.35346 Capdeboscq, Yves; Vogelius, Michael S. 52 2003 Finite volume methods for elliptic PDE’s: a new approach. Zbl 1041.65087 Chatzipantelidis, Panagiotis 51 2002 Structural properties of solutions to total variation regularization problems. Zbl 1018.49021 Ring, Wolfgang 50 2000 Numerical simulation of chemotactic bacteria aggregation via mixed finite elements. Zbl 1065.92006 Marrocco, Americo 50 2003 Error estimates for some quasi-interpolation operators. Zbl 0938.65125 Verfürth, Rüdiger 47 1999 Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis. Zbl 1032.82038 Chainais-Hillairet, Claire; Liu, Jian-Guo; Peng, Yue-Jun 45 2003 Finite-differences discretizations of the Mumford-Shah functional. Zbl 0947.65076 Chambolle, Antonin 43 1999 Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. Zbl 1118.74315 Deparis, Simone; Fernández, Miguel Angel; Formaggia, Luca 40 2003 A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations. Zbl 0992.65100 Ohlberger, Mario 38 2001 On fully practical finite element approximations of degenerate Cahn-Hilliard systems. Zbl 0987.35071 Barrett, John W.; Blowey, James F.; Garcke, Harald 38 2001 Discrete approximation of the Mumford-Shah functional in dimension two. Zbl 0943.49011 Chambolle, Antonin; Dal Maso, Gianni 36 1999 On the convergence of SCF algorithms for the Hartree-Fock equations. Zbl 1090.65548 Cancès, Eric; Le Bris, Claude 36 2000 Singularities of eddy current problems. Zbl 1170.35353 Costabel, Martin; Dauge, Monique; Nicaise, Serge 36 2003 Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients. Zbl 1032.76048 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 35 2001 A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations. Zbl 1024.65104 Prud’homme, Christophe; Rovas, Dimitrios V.; Veroy, Karen; Patera, Anthony T. 35 2002 Image segmentation with a finite element method. Zbl 0947.65075 Bourdin, Blaise 33 1999 On the derivation of homogeneous hydrostatic equations. Zbl 0947.76013 Grenier, Emmanuel 33 1999 A note on polynomial approximation in Sobolev spaces. Zbl 0936.41006 Verfürth, Rüdiger 32 1999 On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation. Zbl 0991.65088 Zouraris, Georgios E. 32 2001 Convergence of a high-order compact finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1124.91031 Düring, Bertram; Fournié, Michel; Jüngel, Ansgar 32 2004 A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433 Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa 32 2004 A posteriori error analysis of the fully discretized time-dependent Stokes equations. Zbl 1079.76042 Bernardi, Christine; Verfürth, Rüdiger 31 2004 Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations. Zbl 0990.65122 Coudière, Yves; Gallouët, Thierry; Herbin, Raphaèle 30 2001 Mixed methods for the approximation of liquid crystal flows. Zbl 1032.76035 Liu, Chun; Walkington, Noel J. 30 2002 A result on second order convergence in time for the approximation of the Navier-Stokes equations by an incremental projection technique. (Un résultat de convergence d’ordre deux en temps pour l’approximation des équations de Navier-Stokes par une technique de projection incrémentale.) Zbl 0921.76123 Guermond, Jean-Luc 29 1999 Existence results for unilateral quasistatic contact problems with friction and adhesion. Zbl 0984.74054 Cocu, Marius; Rocca, Rémi 29 2000 Entropic approximation in kinetic theory. Zbl 1084.82010 Schneider, Jacques 29 2004 Crack detection using electrostatic measurements. Zbl 0985.35103 Brühl, Martin; Hanke, Martin; Pidcock, Michael 28 2001 Analysis of total variation flow and its finite element approximations. Zbl 1050.35004 Feng, Xiaobing; Prohl, Andreas 28 2003 Hermite pseudospectral method for nonlinear partial differential equations. Zbl 0966.65072 Guo, Benyu; Xu, Chenglong 27 2000 Two-scale FEM for homogenization problems. Zbl 1070.65572 Matache, Ana-Maria; Schwab, Christoph 27 2002 Homogenization of a monotone problem in a domain with oscillating boundary. Zbl 0942.35071 Blanchard, Dominique; Carbone, Luciano; Gaudiello, Antonio 26 1999 About stability of equilibrium shapes. Zbl 0966.49023 Dambrine, Marc; Pierre, Michel 26 2000 Some new results in multiphase geometrical optics. Zbl 0972.78001 Runborg, Olof 25 2000 Homogenization of the criticality spectral equation in neutron transport. Zbl 0931.35010 Allaire, Grégoire; Bal, Guillaume 24 1999 Approximation of parabolic equations using the Wasserstein metric. Zbl 0936.65121 Kinderlehrer, David; Walkington, Noel J. 24 1999 On the domain geometry dependence of the LBB condition. Zbl 1006.76052 Chizhonkov, Evgenij V.; Olshanskij, Maxim A. 24 2000 Galerkin time-stepping methods for nonlinear parabolic equations. Zbl 1085.65094 Akrivis, Georgios; Makridakis, Charalambos 24 2004 Concepts – an object-oriented software package for partial differential equations. Zbl 1032.65128 Frauenfelder, Philipp; Lage, Christian 24 2002 Finite volume schemes for a nonlinear hyperbolic equation. Convergence towards the entropy solution and error estimate. Zbl 0921.65071 Chainais-Hillairet, Claire 23 1999 Convergence rate of a finite volume scheme for the linear convection-diffusion equation on locally refined meshes. Zbl 0972.65081 Coudière, Yves; Villedieu, Philippe 23 2000 Inverse coefficient problems for variational inequalities: Optimality conditions and numerical realization. Zbl 0978.65054 Hintermüller, Michael 23 2001 Error of the two-step BDF for the incompressible Navier-Stokes problem. Zbl 1076.76054 Emmrich, Etienne 23 2004 The effect of reduced integration in the Steklov eigenvalue problem. Zbl 1077.65115 Armentano, María G. 22 2004 A mixed-FEM and BEM coupling for a three-dimensional eddy current problem. Zbl 1031.78012 Meddahi, Salim; Selgas, Virginia 21 2003 An active set strategy based on the augmented Lagrangian formulation for image restoration. Zbl 0918.65050 Ito, Kazufumi; Kunisch, Karl 20 1999 Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 20 2004 The blocking of an inhomogeneous Bingham fluid. Applications to landslides. Zbl 1057.76004 Hild, Patrick; Ionescu, Ioan R.; Lachand-Robert, Thomas; Roşca, Ioan 20 2002 Transport of pollutant in shallow water - a two time steps kinetic method. Zbl 1137.65392 Audusse, Emmanuel; Bristeau, Marie-Odile 20 2003 A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125 Golse, François; Jin, Shi; Levermore, C. David 19 2003 A new two-dimensional shallow water model including pressure effects and slow varying bottom topography. Zbl 1130.76329 Ferrari, Stefania; Saleri, Fausto 19 2004 Analysis of lumped parameter models for blood flow simulations and their relation with 1D models. Zbl 1079.76053 Milišić, Vuk; Quarteroni, Alfio 19 2004 Hermite interpolants obtained by subdivision. (Interpolants d’Hermite \(C^2\) obtenus par subdivision.) Zbl 0920.65002 Merrien, Jean-Louis 18 1999 A sliding mesh-mortar method for a two dimensional eddy currents model of electric engines. Zbl 0986.35111 Buffa, Annalisa; Maday, Yvon; Rapetti, Francesca 18 2001 Relaxation schemes for the multicomponent Euler system. Zbl 1070.76037 Dellacherie, Stéphane 18 2003 A mechanochemical model of angiogenesis and vasculogenesis. Zbl 1080.92012 Manoussaki, Daphne 18 2003 Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements. Zbl 1137.35347 Capdeboscq, Yves; Vogelius, Michael S. 18 2003 Numerical resolution of an “unbalanced” mass transport problem. Zbl 1037.65063 Benamou, Jean-David 18 2003 Coupling of transport and diffusion models in linear transport theory. Zbl 0995.45008 Bal, Guillaume; Maday, Yvon 17 2002 Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045 Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana 17 2004 Convergent semidiscretization of a nonlinear fourth order parabolic system. Zbl 1026.35045 Jüngel, Ansgar; Pinnau, René 17 2003 Local solutions for stochastic Navier-Stokes equations. Zbl 0972.76021 Bensoussan, Alain; Frehse, Jens 16 2000 Numerical study of the Davey-Stewartson system. Zbl 1080.65095 Besse, Christophe; Mauser, Norbert J.; Stimming, Hans Peter 16 2004 A posteriori error estimates with post-processing for nonconforming finite elements. Zbl 1041.65083 Schieweck, Friedhelm 16 2002 Singular perturbation for the Dirichlet boundary control of elliptic problems. Zbl 1051.49012 Ben Belgacem, Faker; El Fekih, Henda; Metoui, Hejer 16 2003 A strongly nonlinear problem arising in glaciology. Zbl 0946.65115 Colinge, Jacques; Rappaz, Jacques 15 1999 On the distribution of free path lengths for the periodic Lorentz gas. II. Zbl 1006.82025 Golse, François; Wennberg, Bernt 15 2000 Central schemes and contact discontinuities. Zbl 0972.65055 Kurganov, Alexander; Petrova, Guergana 15 2000 Numerical analysis of a relaxed variational model of hysteresis in two-phase solids. Zbl 1007.74062 Carstensen, Carsten; Plecháč, Petr 15 2001 Mixed finite element approximation of 3D contact problems with given friction: error analysis and numerical realization. Zbl 1080.74046 Haslinger, Jaroslav; Sassi, Taoufik 15 2004 On the well-balance property of Roe’s method for nonconservative hyperbolic systems. Applications to shallow-water systems. Zbl 1130.76325 Parés, Carlos; Castro, Manuel 99 2004 A posteriori error control for the Allen-Cahn problem: circumventing Gronwall’s inequality. Zbl 1075.65117 Kessler, Daniel; Nochetto, Ricardo H.; Schmidt, Alfred 58 2004 Fast deterministic pricing of options on Lévy driven assets. Zbl 1072.60052 Matache, Ana-Maria; von Petersdorff, Tobias; Schwab, Christoph 54 2004 Numerical solution of parabolic equations in high dimensions. Zbl 1083.65095 von Petersdorff, Tobias; Schwab, Christoph 54 2004 Convergence of a high-order compact finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1124.91031 Düring, Bertram; Fournié, Michel; Jüngel, Ansgar 32 2004 A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433 Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa 32 2004 A posteriori error analysis of the fully discretized time-dependent Stokes equations. Zbl 1079.76042 Bernardi, Christine; Verfürth, Rüdiger 31 2004 Entropic approximation in kinetic theory. Zbl 1084.82010 Schneider, Jacques 29 2004 Galerkin time-stepping methods for nonlinear parabolic equations. Zbl 1085.65094 Akrivis, Georgios; Makridakis, Charalambos 24 2004 Error of the two-step BDF for the incompressible Navier-Stokes problem. Zbl 1076.76054 Emmrich, Etienne 23 2004 The effect of reduced integration in the Steklov eigenvalue problem. Zbl 1077.65115 Armentano, María G. 22 2004 Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108 Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 20 2004 A new two-dimensional shallow water model including pressure effects and slow varying bottom topography. Zbl 1130.76329 Ferrari, Stefania; Saleri, Fausto 19 2004 Analysis of lumped parameter models for blood flow simulations and their relation with 1D models. Zbl 1079.76053 Milišić, Vuk; Quarteroni, Alfio 19 2004 Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045 Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana 17 2004 Numerical study of the Davey-Stewartson system. Zbl 1080.65095 Besse, Christophe; Mauser, Norbert J.; Stimming, Hans Peter 16 2004 Mixed finite element approximation of 3D contact problems with given friction: error analysis and numerical realization. Zbl 1080.74046 Haslinger, Jaroslav; Sassi, Taoufik 15 2004 Finite volume schemes for the \(p\)-Laplacian on Cartesian meshes. Zbl 1081.65105 Andreianov, Boris; Boyer, Franck; Hubert, Florence 14 2004 On a hybrid finite-volume-particle method. Zbl 1077.65091 Chertock, Alina; Kurganov, Alexander 14 2004 New integral formulations for wave diffraction problems. (Nouvelles formulations intégrales pour les problèmes de diffraction d’ondes.) Zbl 1130.35326 Levadoux, David P.; Michielsen, Bastiaan L. 11 2004 Linear convergence in the approximation of rank-one convex envelopes. Zbl 1083.65058 Bartels, Sören 11 2004 Residual and hierarchical a posteriori error estimates for nonconforming mixed finite element methods. Zbl 1077.65113 El Alaoui, Linda; Ern, Alexandre 11 2004 Dynamical behavior of Volterra model with mutual interference concerning IPM. Zbl 1081.34042 Zhang, Yujuan; Liu, Bing; Chen, Lansun 10 2004 Error estimates in the fast multipole method for scattering problems. I. Truncation of the Jacobi-Anger series. Zbl 1077.41027 Carayol, Quentin; Collino, Francis 10 2004 The correct use of the Lax-Friedrichs method. Zbl 1077.65089 Breuss, Michael 9 2004 Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle. Zbl 1080.74036 Copetti, Maria I. M. 9 2004 Transport in a molecular motor system. Zbl 1077.35060 Chipot, Michel; Hastings, Stuart; Kinderlehrer, David 9 2004 Mixed formulations for a class of variational inequalities. Zbl 1100.65059 Slimane, Leila; Bendali, Abderrahmane; Laborde, Patrick 8 2004 Young-measure approximations for elastodynamics with non-monotone stress-strain relations. Zbl 1130.74383 Carstensen, Carsten; Rieger, Marc Oliver 8 2004 On the modeling of the transport of particles in turbulent flows. Zbl 1079.76037 Goudon, Thierry; Poupaud, Frédéric 6 2004 The fourth order accuracy decomposition scheme for an evolution problem. Zbl 1077.65101 Gegechkori, Zurab; Rogava, Jemal; Tsiklauri, Mikheil 6 2004 A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D. Zbl 1105.65352 Lamichhane, Bishnu P.; Wohlmuth, Barbara I. 5 2004 Energetics and switching of quasi-uniform states in small ferromagnetic particles. Zbl 1085.82015 Alouges, François; Conti, Sergio; DeSimone, Antonio; Pokern, Yvo 5 2004 Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting. Zbl 1074.65106 Feng, Xiaobing; Prohl, Andreas 5 2004 A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP. Zbl 1081.81127 Besse, Christophe; Bidégaray-Fesquet, Brigitte; Bourgeade, Antoine; Degond, Pierre; Saut, Olivier 5 2004 Mathematical and numerical analysis of a stratigraphic model. Zbl 1130.86315 Gervais, Véronique; Masson, Roland 5 2004 Finite element approximation of a Stefan problem with degenerate Joule heating. Zbl 1072.80010 Barrett, John W.; Nürnberg, Robert 4 2004 Approximation of the marginal distributions of a semi-Markov process using a finite volume scheme. Zbl 1078.60075 Cocozza-Thivent, Christiane; Eymard, Robert 4 2004 An asymptotically optimal model for isotropic heterogeneous linearly elastic plates. Zbl 1130.74403 Auricchio, Ferdinando; Lovadina, Carlo; Madureira, Alexandre L. 4 2004 The existence of a solution and a numerical method for the Timoshenko nonlinear wave system. Zbl 1080.35159 Peradze, Jemal 3 2004 A note on \((2K+1)\)-point conservative monotone schemes. Zbl 1075.65113 Tang, Huazhong; Warnecke, Gerald 3 2004 Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem. Zbl 1077.74054 Barrientos, Mauricio A.; Gatica, Gabriel N.; Rodríguez, Rodolfo; Torrejón, Marcela E. 3 2004 Finite element approximations of a glaciology problem. Zbl 1130.86300 Chow, Sum S.; Carey, Graham F.; Anderson, Michael L. 3 2004 A new formulation of the Stokes problem in a cylinder, and its spectral discretization. Zbl 1079.76055 Abdellatif, Nehla; Bernardi, Christine 3 2004 Stick-slip transition capturing by using an adaptive finite element method. Zbl 1130.76368 Roquet, Nicolas; Saramito, Pierre 2 2004 Time splitting for wave equations in random media. Zbl 1130.74393 Bal, Guillaume; Ryzhik, Lenya 2 2004 On the connection between some Riemann-solver free approaches to the approximation of multi-dimensional systems of hyperbolic conservation laws. Zbl 1083.35063 Kröger, Tim; Noelle, Sebastian; Zimmermann, Susanne 2 2004 Raman laser: mathematical and numerical analysis of a model. Zbl 1078.78012 Castella, François; Chartier, Philippe; Faou, Erwan; Bayart, Dominique; Leplingard, Florence; Martinelli, Catherine 1 2004 Analysis of two-level domain decomposition preconditioners based on aggregation. Zbl 1078.65120 Sala, Marzio 1 2004 Approximation of the vibration modes of a plate coupled with a fluid by low-order isoparametric finite elements. Zbl 1130.74453 Hernández, Erwin 1 2004 A finite element method for domain decomposition with non-matching grids. Zbl 1047.65099 Becker, Roland; Hansbo, Peter; Stenberg, Rolf 113 2003 A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows. Zbl 1070.74047 Gerbeau, Jean-Frédéric; Vidrascu, Marina 100 2003 Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology. Zbl 1046.76002 Glowinski, Roland; Rappaz, Jacques 80 2003 Discontinuous Galerkin and the Crouzeix-Raviart element: application to elasticity. Zbl 1137.65431 Hansbo, Peter; Larson, Mats G. 74 2003 A finite element method on composite grids based on Nitsche’s method. Zbl 1031.65128 Hansbo, Anita; Hansbo, Peter; Larson, Mats G. 64 2003 Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355 Eymard, Robert; Herbin, Raphaèle; Michel, Anthony 61 2003 Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007 Ito, Kazufumi; Kunisch, Karl 55 2003 A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction. Zbl 1137.35346 Capdeboscq, Yves; Vogelius, Michael S. 52 2003 Numerical simulation of chemotactic bacteria aggregation via mixed finite elements. Zbl 1065.92006 Marrocco, Americo 50 2003 Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis. Zbl 1032.82038 Chainais-Hillairet, Claire; Liu, Jian-Guo; Peng, Yue-Jun 45 2003 Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. Zbl 1118.74315 Deparis, Simone; Fernández, Miguel Angel; Formaggia, Luca 40 2003 Singularities of eddy current problems. Zbl 1170.35353 Costabel, Martin; Dauge, Monique; Nicaise, Serge 36 2003 Analysis of total variation flow and its finite element approximations. Zbl 1050.35004 Feng, Xiaobing; Prohl, Andreas 28 2003 A mixed-FEM and BEM coupling for a three-dimensional eddy current problem. Zbl 1031.78012 Meddahi, Salim; Selgas, Virginia 21 2003 Transport of pollutant in shallow water - a two time steps kinetic method. Zbl 1137.65392 Audusse, Emmanuel; Bristeau, Marie-Odile 20 2003 A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125 Golse, François; Jin, Shi; Levermore, C. David 19 2003 Relaxation schemes for the multicomponent Euler system. Zbl 1070.76037 Dellacherie, Stéphane 18 2003 A mechanochemical model of angiogenesis and vasculogenesis. Zbl 1080.92012 Manoussaki, Daphne 18 2003 Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements. Zbl 1137.35347 Capdeboscq, Yves; Vogelius, Michael S. 18 2003 Numerical resolution of an “unbalanced” mass transport problem. Zbl 1037.65063 Benamou, Jean-David 18 2003 Convergent semidiscretization of a nonlinear fourth order parabolic system. Zbl 1026.35045 Jüngel, Ansgar; Pinnau, René 17 2003 Singular perturbation for the Dirichlet boundary control of elliptic problems. 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Zbl 1047.76114 Desvillettes, Laurent; Salvarani, Francesco 1 2003 ...and 220 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,169 Authors 46 Kurganov, Alexander 42 Burman, Erik 35 Nicaise, Serge 34 Parés Madroñal, Carlos 33 Hansbo, Peter 33 Qiu, Jianxian 32 Shi, Dongyang 30 Carstensen, Carsten 30 Shu, Chi-Wang 30 Zhu, Jun 28 Castro, Manuel J. 28 Larson, Mats G. 25 Cancès, Clément 25 Carrillo de la Plata, José Antonio 25 Eymard, Robert 25 Girault, Vivette 24 Fernández-Nieto, Enrique Domingo 23 Ammari, Habib 23 Schwab, Christoph 22 Chacón Rebollo, Tomás 21 Chertock, Alina E. 20 Bernardi, Christine 20 Berthon, Christophe 20 Castro-Díaz, Manuel Jesús 20 Dumbser, Michael 20 He, Yinnian 19 Henning, Patrick 19 Li, Jichun 19 Vohralík, Martin 18 Droniou, Jérôme 18 Guermond, Jean-Luc 18 John, Volker 18 Kang, Hyeonbae 18 Takahashi, Takéo 17 Ern, Alexandre 17 Gallouët, Thierry 17 Huang, Yunqing 17 Nochetto, Ricardo Horacio 17 Rodríguez, Rodolfo 16 Chainais-Hillairet, Claire 16 Guillén González, Francisco M. 16 Karlsen, Kenneth Hvistendahl 16 Morales de Luna, Tomás 16 Perthame, Benoît 16 Quarteroni, Alfio M. 16 Saad, Mazen 16 Sheen, Dongwoo 16 Shen, Jie 15 Bartels, Sören 15 Boscheri, Walter 15 Herbin, Raphaèle 15 Hiptmair, Ralf 15 Manzini, Gianmarco 15 Ohlberger, Mario 14 Gaudiello, Antonio 14 Jin, Shi 14 Khelifi, Abdessatar 14 Wu, Jiming 13 Bürger, Raimund 13 Di Pietro, Daniele Antonio 13 Duan, Huoyuan 13 Fernández, Miguel Ángel 13 Jakobsen, Espen Robstad 13 Massing, André 13 Peterseim, Daniel 13 Picasso, Marco 13 Shang, Yueqiang 12 Boffi, Daniele 12 Cai, Li 12 Chen, Li 12 Ciarlet, Patrick jun. 12 Gao, Zhiming 12 Goudon, Thierry 12 Hintermüller, Michael 12 Schmidt, Kersten 12 Temam, Roger Meyer 12 Xing, Yulong 12 Yang, Xiaofeng 12 Zou, Jun 11 Andreianov, Boris 11 Becker, Roland 11 Benamou, Jean-David 11 Chouly, Franz 11 Company, Rafael 11 Feng, Jianhu 11 Goreac, Dan 11 Gosse, Laurent 11 Guan, Hongbo 11 Hecht, Frédéric 11 Karageorghis, Andreas 11 Paicu, Marius 11 Perugia, Ilaria 11 Reisinger, Christoph 11 Russo, Giovanni 11 Sayah, Toni 11 Tadmor, Eitan 11 Toro, Eleuterio Francisco 11 Vogelius, Michael S. 11 Wall, Wolfgang A. 11 Wohlmuth, Barbara I. ...and 6,069 more Authors all top 5 Cited in 411 Journals 364 Journal of Computational Physics 281 Computer Methods in Applied Mechanics and Engineering 220 Journal of Scientific Computing 172 Numerische Mathematik 168 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 165 Journal of Computational and Applied Mathematics 153 Computers & Mathematics with Applications 150 Mathematics of Computation 148 Applied Numerical Mathematics 107 M\(^3\)AS. 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